Question

x+(k+1) y=5 (k+1) x+9y=8k-1 find k for infinity many solution ​

Answer 1

Answer:

This system of equation is of the form

a1x+b1y=c1

a2x+b2y=c2

where a1=1,b1=k+1,c1=5 

and a2=k+1,b2=9 and c2=8k−1

For infinitely many solutions, we must have

a2a1=b2b1=c2c1

The given system of equations will have infinite solutions, if

k+11=9k+1=8k−15

⇒k+11=9

Step-by-step explanation:

2

Answer 2

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Refer the attachment